Transforming Equations to Solve for Unknown Variables for Scientists

[vabamyyr]

\sqrt{x} + \sqrt{x+2} + \sqrt{x}\sqrt{x+2}=16,5-x

 

[arildno]

Is \sqrt{x}x=x^{\frac{3}{2}} ?
Or is this a typo?

 

[arildno]

Hint:
\frac{1}{2}(\sqrt{x}+\sqrt{x+2})^{2}=x+\sqrt{x}\sqrt{x+2}+1

 

[vabamyyr]

Hint:
\frac{1}{2}(\sqrt{x}+\sqrt{x+2})^{2}=x+\sqrt{x}\sqrt{x+2}+1

thanks, i knew i had to transform my initial equation to square equation over new variable, so, yes, ur hint is the key, thanks again